Question

According to Boyle’s law, PV= K, what was the volume at the time of the first measurement given the following information? Round to the nearest mL.

P1=5.42 atm
P2=8.59 atm
V2=527 mL

Answer 1

Hello!

The answer is:

The first measurement of volume is equal to 835.23 mL.

Why?

Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.

So, we Boyle's Law equation states that:

`P_(1)V_(1)=P_(2)V_(2)`

Where,

`P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume`

Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:

`P_(1)V_(1)=P_(2)V_(2)\\\\V_(1)=(P_(2)V_(2))/(P_(1))`

So, substituting the given information and calculating, we have:

`V_(1)=(8.59atm*527mL)/(5.42atm)`

`V_(1)=(4526.93atm.mL)/(5.42atm)=835.23mL`

Hence, the first measurement of volume is equal 835.23 mL.

Have a nice day!